Many processes in physics are mathematically described by partial differential equations — for example, string vibrations or heat transfer from one part of a solid to another. RUDN mathematicians have created a package of tools for the analysis of such equations and their systems. Previously, triangular decomposition methods were used to solve such differential equations: a complex equation was sequentially divided into simpler parts. The authors took a different approach - the Thomas decomposition method. During the tests, he showed superiority over previously used methods.
RUDN mathematicians also gave examples of application of the software package in practice by solving the Navier-Stokes and Burgers equations for an incompressible fluid that underlies hydrodynamics
The software of RUDN mathematicians will expand the base of existing algorithms and simplify the work of specialists in physics, physical chemistry and information technology. The created tool package will help to find solutions of differential equations and their systems faster and with greater accuracy compared to previously existing methods.
A RUDN chemist has synthesized an electrocatalyst based on gold nanoparticles with organic ligands, which can trigger both hydrogen production reactions and oxygen reduction reactions in fuel cells. The yield of products with the new catalyst was twice as high as when using a traditional platinum-based catalyst.
A chemist from RUDN University has proposed a new way to control toluene photooxidation using composite catalysts — artificial diamond and titanium dioxide. The discovery refutes the previously existing physical hypothesis about the process of photooxidation of toluene.
A RUDN University biologist has developed a model for the analysis of photosynthesis in vivo. This method allows you to calculate the absorption coefficient of light by chlorophyll, based on its reflectivity. Analysis of light absorption is important for assessing ecosystem productivity, which affects the state of the biosphere and the global climate.
A RUDN chemist has synthesized an electrocatalyst based on gold nanoparticles with organic ligands, which can trigger both hydrogen production reactions and oxygen reduction reactions in fuel cells. The yield of products with the new catalyst was twice as high as when using a traditional platinum-based catalyst.
A chemist from RUDN University has proposed a new way to control toluene photooxidation using composite catalysts — artificial diamond and titanium dioxide. The discovery refutes the previously existing physical hypothesis about the process of photooxidation of toluene.
A RUDN University biologist has developed a model for the analysis of photosynthesis in vivo. This method allows you to calculate the absorption coefficient of light by chlorophyll, based on its reflectivity. Analysis of light absorption is important for assessing ecosystem productivity, which affects the state of the biosphere and the global climate.